The first rule in photojournalism is the Rule of Thirds. When taking photos the photographer has an imaginary grid to abide by when shooting. The best pictures have the main subject along these imaginary lines.
People's eyes are naturally drawn to lines..Leading Lines. If done right, the photo can draw the eyes along an implied movement.
Repition/Patterns are aesthetically pleasing
With angle, spending time with the subject and exploring a variety of angles and approaches can reveal a more interesting way to express the subject.
A strong (and beautiful) subject can send a powerful message in your photo. The subject here is Elizabeth Taylor front and center.
Natural framing like the trees above can create some beautiful scenery. It makes the subject more beautiful than they were intended to be
Selective focus (of the hands) can tell a story without words.